Category: Algebra
"Published in Newark, California, USA"
Find the value of a fraction whose numerator is 4 less than its denominator and which when added to ½ the value of the fraction gives a sum of 3/10.
Solution:
The first thing that we have to do is to analyze the problem very well because we will interpret a word statement into a working equation.
Let x = be the denominator of the unknown fraction
x - 4 = be the numerator of the unknown fraction
From the word statement that "when added to ½ the value of the fraction gives a sum of 3/10", the working equation will be
Multiply the both sides of the equation by their Least Common Denominator (LCD) which is 10x as follows
The numerator of the unknown fraction is 5 - 4 = 1.
The denominator of the unknown fraction is 5.
Therefore, the unknown fraction is 1/5.
Check: